Dusty Grundmeier

activity

20132026

most citedAn Application of Macaulay's Estimate to CR Geometry

2 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2021 · math.CVShow all

3 papers · 2 filters

math.CV2021

Algebraic properties of Hermitian sums of squares, II

Jennifer Brooks, Dusty Grundmeier, Hal Schenck

We study real bihomogeneous polynomials $r (z, z ˉ)$ in $n$ complex variables for which $r (z, z ˉ) ∥ z ∥^{2}$ is the squared norm of a holomorphic polynomial mapping. Such polyn…

math.CV2021

Sums of CR and projective dual CR functions

David E. Barrett, Dusty E. Grundmeier

A smooth, strongly $C$ -convex, real hypersurface $S$ in $CP^{n}$ admits a projective dual CR structure in addition to the standard CR structure. Given a smooth func…

math.CV2021

Sum of Squares Conjecture: the Monomial Case in $C^{3}$

Jennifer Brooks, Dusty Grundmeier

The goal of this article is to prove the Sum of Squares Conjecture for real polynomials $r (z, z ˉ)$ on $C^{3}$ with diagonal coefficient matrix. This conjecture describes…

Algebraic properties of Hermitian sums of squares, II

Sums of CR and projective dual CR functions

Sum of Squares Conjecture: the Monomial Case in C3

Sum of Squares Conjecture: the Monomial Case in $C^{3}$